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Finding the Third Proportional to 85,402,955,214 and 177,874,662,438

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Solution

The third proportional to 85,402,955,214 and 177,874,662,438 is: 370,471,905,312.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,402,955,214 : 177,874,662,438 = 177,874,662,438 : x
  2. Step 2: Convert to fraction form
    85,402,955,214/177,874,662,438 = 177,874,662,438/x
  3. Step 3: Cross multiply
    85,402,955,214x = 177,874,662,438 × 177,874,662,438
  4. Step 4: Simplify right side
    85,402,955,214x = 31,639,395,537,432,449,384,448
  5. Step 5: Solve for x
    x = 31,639,395,537,432,449,384,448/85,402,955,214
  6. Step 6: Final answer
    x = 370,471,905,312.31

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.